Positive solutions to mixed fractional <i>p</i>-Laplacian boundary value problems-Reference-Cited by-同舟云学术

Positive solutions to mixed fractional p-Laplacian boundary value problems

Published:2022-01-28 Issue:0 Volume:0 Page:
ISSN:1425-6908
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Guezane-Lakoud Assia¹^ORCID,Rodríguez-López Rosana²^ORCID

Affiliation:

1. Department of Mathematics , Faculty of Sciences , Badji Mokhtar-Annaba University , P.O. Box 12, 23000 Annaba , Algeria

2. Instituto de Matemáticas , Departamento de Estatística, Análise Matemática e Optimización , Facultade de Matemáticas , Universidade de Santiago de Compostela , 15782 Santiago de Compostela , Spain

Abstract

Abstract In this paper, we discuss the existence and uniqueness of a positive solution for a p-Laplacian differential equation containing left and right Caputo derivatives. By the help of the Guo–Krasnoselskii theorem, we prove the existence of at least one positive solution. The existence of a unique positive solution is established under the assumption that the corresponding operator is α-concave and increasing. Numerical examples are given to check the obtained results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2021-2085/pdf

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